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On semigroups defined by Coxeter-type presentations

Research output: Contribution to journalArticle

Abstract

Presentations of Coxeter type are defined for semigroups. Minimal right ideals of a semigroup defined by such a presentation are proved to be isomorphic to the group with the same presentation. A necessary and sufficient condition for these semigroups to be finite is found. The structure of semigroups defined by Coxeter-type presentations for the symmetric and alternating groups is examined in detail.

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Original languageEnglish
Pages (from-to)1063-1075
Number of pages13
JournalProceedings of the Royal Society of Edinburgh, Section A: Mathematics
Volume125
Issue number5
DOIs
Publication statusPublished - Jan 1995

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